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Finding the Fourth Proportional to 103,960.69, 143,465.84 and 56,214.07

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Solution

The fourth proportional to 103,960.69, 143,465.84 and 56,214.07 is: 77,575.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,960.69 : 143,465.84 = 56,214.07 : x
  2. Step 2: Convert to fraction form
    103,960.69/143,465.84 = 56,214.07/x
  3. Step 3: Cross multiply
    103,960.69x = 143,465.84 × 56,214.07
  4. Step 4: Simplify right side
    103,960.69x = 8,064,798,772.37
  5. Step 5: Solve for x
    x = 8,064,798,772.37/103,960.69
  6. Step 6: Final answer
    x = 77,575.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.